Geometric Aspects of Knot Modification of B-spline Surfaces
Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 141-15
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In a recent publication we described the effect of knot modifications of B-spline curves. The aim of this paper is the generalization of these results for surfaces. Altering one or two knot values of a B-spline surface, the paths of the points of the surface are discussed first, among which special ruled surfaces can be found. Then we prove that the family of B-spline surfaces obtained by knot alteration, possesses an envelope which is a lower order B-spline surface. Keywords: B-spline surfaces, knot modification. Classification1: 53A05, 68U05.